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We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang

We study the real-time dynamics of a highly excited charge carrier coupled to quantum phonons via a Holstein-type electron-phonon coupling. This is a prototypical example for the non-equilibrium dynamics in an interacting many-body system…

Strongly Correlated Electrons · Physics 2015-03-11 F. Dorfner , L. Vidmar , C. Brockt , E. Jeckelmann , F. Heidrich-Meisner

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation the low-energy spectrum of interacting…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Edvin G. Idrisov

We present a Green's function based treatment of the effects of electron-phonon coupling on transport through a molecular quantum dot in the quantum limit. Thereby we combine an incomplete variational Lang-Firsov approach with a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 T. Koch , J. Loos , A. Alvermann , A. R. Bishop , H. Fehske

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Michael Ridley , Viveka Nand Singh , Emanuel Gull , Guy Cohen

The spectral weight functions and the optical conductivity of the Holstein model are studied on a one-dimensional six-site lattice with periodic boundary conditions for three different electron concentrations: a single electron, two…

Strongly Correlated Electrons · Physics 2009-10-31 Chunli Zhang , Eric Jeckelmann , Steven R. White

Full counting statistics (FCS) of charge transfer in mesoscopic systems has recently become a subject of significant interest, since it proves to reveal an important information about the system which can be hardly assessed by other means.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

Nonequilibrium interplay between charge, spin and lattice degrees of freedom on a square lattice is studied for a single charge carrier doped in the t-J-Holstein model. In the presence of an uniform electric field we calculate the…

Strongly Correlated Electrons · Physics 2011-12-09 Lev Vidmar , Janez Bonca , Takami Tohyama , Sadamichi Maekawa

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

Electrical quantum conductors coupled to microwave resonators have in the last decade emerged as a versatile testbed for controllable light-matter interaction on the nanometer scale. Recent experimental progress with high impedance…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 T. L. van den Berg , P. Samuelsson

We analyze the spin-resolved full counting statistics of electron transfer through an ultrasmall quantum dot coupled to metallic electrodes. Modelling the setup by the Anderson Hamiltonian, we explicitly take into account the onsite Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-04-04 T. L. Schmidt , A. Komnik , A. O. Gogolin

We present a theory that efficiently describes the quantum dynamics of an electronic excitation that is coupled to a continuous, highly structured phonon environment. Based on a stochastic approach to non-Markovian open quantum systems, we…

Quantum Physics · Physics 2009-11-05 Jan Roden , Alexander Eisfeld , Wolfgang Wolff , Walter T. Strunz

We study the counting statistics for electrons and photons being emitted from a driven two level quantum dot. Our technique allows us to calculate their mutual correlations as well. We study different transport configurations by tuning the…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 Rafael Sánchez , Gloria Platero , Tobias Brandes

We examine the effects of electron-phonon interaction on the dynamics of the charge carriers doped in two-dimensional (2D) Heisenberg antiferromagnet. The $t$-$J$ model Hamiltonian with a Fr\"ohlich term which couples the holes to a…

Condensed Matter · Physics 2009-10-28 B. Kyung , S. I. Mukhin , V. N. Kostur , R. A. Ferrell

We investigate the effect of local Coulomb correlations on electronic transport through a variety of coupled quantum dot systems connected to Fermi liquid leads. We use a newly developed functional renormalization group scheme to compute…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Karrasch , T. Enss , V. Meden

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux

When a mesoscopic conductor is coupled to a high-quality electromagnetic cavity the flow of charges and the flux of photons leaking out of the cavity can both depend strongly on the coupled quantum dynamics of the system. Using a…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Björn Kubala , Joachim Ankerhold , A. D. Armour